The acceleration due to gravity on the earth's surface at the poles is g and angular velocity of the earth about the axis passing through the pole is…

The acceleration due to gravity on the earth's surface at the poles is $\displaystyle g$ and angular velocity of the earth about the axis passing through the pole is $\displaystyle \omega$. An object is weighed at the equator and at a height $\displaystyle h$ above the poles by using a spring balance. If the weights are found to be same, then h is : (h<<R, where R is the radius of the earth)